Superconducting Magnet Shimming via Discretization Error Adjustment
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Solution Overview
Problem
Existing methods for homogenizing a magnetostatic field generated by a superconducting magnet still suffer from discretization errors due to the limited number of magnetic pieces that can be arranged on shim trays, which hinders achieving the desired magnetic homogeneity.
Innovation Solution
A method that involves setting initial restriction conditions for error components of the magnetic field distribution and calculating the optimum quantity and combination of ferromagnetic bodies to minimize errors. When discretization errors occur, the restriction conditions are adjusted to allow for a wider range of error tolerance, enabling the recalculation of the optimum quantities and combinations of ferromagnetic bodies.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If magnetic pieces are arranged on shim trays to homogenize the magnetostatic field, then magnetic homogeneity is improved, but discretization errors occur due to limited quantity of magnetic pieces
Solution Approach 1:
The patent changes the parameters of the magnetic pieces (size, shape, magnetic moment) and their arrangement patterns to optimize the homogenization effect while minimizing discretization errors. By adjusting these parameters, the system achieves better magnetic homogeneity with fewer pieces.
Solution Approach 2:
The patent performs preliminary calculations and simulations to determine the optimal arrangement and quantities of magnetic pieces before actual shimming. This preliminary action allows for predicting and compensating discretization errors in advance, improving final homogeneity.
2Manufacturing precision
If more magnetic pieces are arranged to reduce discretization error, then magnetic homogeneity improves, but device complexity and operational time increase
Solution Approach 1:
By optimizing the physical parameters of magnetic pieces (larger size, specific shapes), the patent reduces the total number of pieces needed while maintaining homogeneity. This decreases device complexity and simplifies the shimming process.
Solution Approach 2:
The patent segments the shimming process into systematic steps: calculating ideal quantities, determining discrete arrangements, and verifying results. This structured segmentation reduces complexity by breaking down the optimization problem into manageable parts.
3Manufacturing precision
If traditional shimming methods are used, then magnetic homogeneity can be adjusted, but the number of iterations required increases operational time and costs
Solution Approach 1:
The patent performs preliminary optimization calculations using computational algorithms to determine the best arrangement of magnetic pieces before physical implementation. This preliminary action significantly reduces the number of iterative adjustments needed during actual shimming operations.
Solution Approach 2:
The patent implements a feedback mechanism where measurement results from magnetic field mapping are used to refine and adjust the arrangement of magnetic pieces. This feedback loop enables faster convergence to the optimal configuration, reducing iteration time.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach effectively reduces discretization errors, improves the homogeneity of the magnetostatic field, and reduces the number of shimming iterations required, thereby decreasing operational time and costs.
Implementation Method 1
a plurality of ferromagnetic bodies are arranged in the specific space... each of the plurality of ferromagnetic bodies is selected from a plurality of specific ferromagnetic bodies
Data Source
AI summary
A method includes: calculating a first optimum quantity of ferromagnetic arranged at each position so that each error component of a magnetic field distribution in a specific space satisfies a first restriction condition (S33, S34); discretizing, for each position, the first optimum quantity (S35); calculating the error components that are obtained when ferromagnetic having a quantity of the first combination is arranged at each position (S36); when the error component is less than the first lower limit, setting a condition including a lower limit greater than the first lower limit and an upper limit greater than the first upper limit as a second restriction condition, and when the error component is greater than the first upper limit, setting a condition including a lower limit less than the first lower limit and an upper limit less than the first upper limit as a second restriction condition (S38).